First order linear equations, algebraic techniques including
manipulation of algebraic expressions, solution of solution of first
and second degree algebraic equations and inequalities, graphing of
linear equations and applications. Conic sections and Logarithms. Four free credits will be earned, but
they will not count towards graduation; the course does not satisfy
the general education requirement in mathematics/computer science.

In this course students will use an online
adaptive learning technology to master the skills needed for a
foundation in mathematics for further work in the field. Students will be required to attend
classes regularly and an additional 2 hours of computer assisted
work within the Emporium will also be required. This will be a self-paced course but
still afford students the opportunity to work with faculty on a
one-to-one basis, in addition to a lecture setting. This
class format will allow the student to potentially complete the
course at a pace quicker than the standard semester and fulfill the
remedial requirement of the Board of Regents in one semester,
instead of two.
Prerequisite:
Official placement (less than 500 SAT.)

MAT 100 Intermediate Mathematics 3 SH

Manipulating and simplifying polynomials and rational expressions;
algebraic techniques including solution of first and second degree
algebraic equations and inequalities; solution of systems of
equations and inequalities; graphing of linear equations and
applications; exponential functions and logarithms. Three free
elective credits will be earned; the course does not satisfy the
General Education requirement in mathematics/computer science.
Prerequisite:
Official placement (500-540 SAT)

MAT 105, 106 Foundations of Mathematics I & II 4 SH Each Sem.

A two-semester mathematics course designed for and required of
students preparing to teach in the elementary schools. Topics to
include number systems and their properties, problem-solving,
geometry and measurement, probability and statistics, and
applications. Assumes a background in mathematics that includes
algebra and geometry.
Prerequisite:
MAT 100 or appropriate test score.

MAT 110 Great Ideas in Mathematics 3 SH

This is a survey course designed to acquaint the student with
mathematical ideas not normally encountered at the precollege level.
The course conveys something about the nature of mathematics - its
methods, uses and roles in society - through an elementary treatment
of topics such as rubber-sheet geometry, number theory, astronomy,
modular arithmetic or art.
Prerequisite:
MAT 100 or appropriate test score.

MAT 115 Introduction to Biostatistics 3 SH

Primary focus is on statistical comprehension of the research
aspects of current nursing, medical and other health-related
literature through an understanding of statistics utilizing the
computer. (Not open to students who have passed MAT 120.)
Prerequisite:
MAT 100 or appropriate test score.

MAT 118 Elementary Applied Mathematics 3 SH

Fundamental mathematical tools useful in the study of business and
the social sciences, including matrices and polynomial calculus. Not
open to students who have completed MAT 181 or MAT 135.
Prerequisite:
MAT 100 or appropriate test score.

MAT 120 Elementary Statistics 3 SH

An introduction to the practice of statistics that emphasizes
elementary data analysis and inference. Topics include correlation,
regression, probability models, estimations, hypothesis testing of
various parameters and analysis of variance. Examples will be
selected from many fields, such as anthropology, business, medicine,
psychology, the natural sciences, sociology and education. Students
will be expected to use appropriate computer software. (Not open to
students who have passed MAT 115.)
Prerequisite:
MAT 100 or appropriate test score.

MAT 127 Introduction to Cryptology 3 S

When messages are sent over public media, such as the internet, there
is a need to protect (encrypt) the information contained in those messages
from unauthorized viewers. This course is an introduction to cryptology focusing
on the mathematics used to encrypt and decrypt messages. Grade standard “A”-“F.”
Spring semester.
Prerequisite:
MAT 100, or appropriate test scores. General Education: Mathematics.

MAT 133 Precalculus 3 SH

The functions needed for the study of calculus are presented from a
numerical, graphical and algebraic point of view. Polynomial,
exponential, logarithmic and trigonometric functions are included.
Graphics calculators are used throughout the course. Not open to
students who have passed any calculus course.
Prerequisite:
MAT 100 or appropriate test score.

MAT 135 Differential Business Calculus and Applications 3 SH

A survey of fundamental concepts of differential calculus, the
subject that studies change. In particular, real-valued functions of
one variable and their limits, continuity, derivatives, and
applications to non-linear optimization and other business problems.
Also, partial derivatives of real-valued functions of more than one
variables and the method of
Lagrange multipliers for the solution of non-linear optimization
problems with equality constrains. Conceptual understanding,
not theoretical treatment, intuition, and skill acquisition as well
as applications to business and the social sciences will be
emphasized.
Not open to students who have
passed any of MAT 170, MAT 171, or MAT 181.
Prerequisite:

C or higher in
MAT 100 or appropriate placement score. MAT 118 highly recommended, but
may be taken concurrently.

MAT 141 Foundational Discrete Mathematics 3 SH

An in-depth introduction to discrete structures
and processes such as counting techniques, sequences, indexed
summations, introductory propositional and predicate logic,
introductory induction and recursion, sets, relations, functions,
graph theory and connections among these topics.
This course is prerequisite to MAT 207: Proofs.
Prerequisite: B or better in MAT 100 or general education placement.

MAT 150, 151 Mathematics Seminar I and II 0.5 SH

During the first semester, faculty members will present a variety of
accessible topics that demonstrate their individual interests and/or
the broadness and diversity of the field of mathematics. In the
second semester, students will not only hear lectures from
mathematics faculty, but will also be responsible for preparing and
presenting material. The seminar is required of first year math
majors. Students may take each semester of the seminar a maximum of
one time for credit. MAT 150, fall semester, MAT 151, spring
semester.

Prerequisite
For MAT 150: declared major in mathematics or MAT 100 or general education
mathematics placement.

Prerequisite:
For MAT 151: MAT 150; Grading: MAT 150, P/F; MAT 151, A-F. May not be used toward general education
mathematics requirement. May not be used toward mathematics elective
credit.

MAT 165 Introductory Discrete Mathematics 4 SH

An introduction to discrete structures and processes such as
counting, algorithms, proof, induction and recursion through the
study of logic, sets, relations and functions. Sufficient theory is
introduced for applications to graph theory and elementary computer
science.
Prerequisite:
MAT 133 or equivalent.

MAT 170 Calculus I with Prealculus I 3 SH

An introduction to the concept of a function and its derivative from
algebraic, graphical, and data-based points of view. The concentration
in this course will be on linear, polynomial, and power functions.
Appropriate technology will be used in this course. Knowledge and
proficiency with algebra will be assumed. Grade standard “A”-“F.”
Every semester.
Prerequisite:
Grade of “B” or higher in MAT 100 or placement in general education math. General Education: Mathematics.

MAT 171 Calculus I with Precalculus II 4 SH

A continued exploration of the fundamental tools of calculus. This second
course in a sequence introduces more functions and their derivatives, and
also introduces integrals. There is a continued emphasis on graphical,
algebraic and data based viewpoints. Appropriate technology will be used
in this course. Knowledge and proficiency with algebra will be assumed.
Grade standard “A”-“F.” Every semester. Prerequisite: MAT 170. Satisfies
mathematics general education requirement and counts as MAT 181 with regard to
prerequisite in subsequent courses. General Education: Mathematics.

MAT 181 Calculus I 4 SH

An introduction to the two fundamental tools of calculus —
derivatives and integrals—from algebraic, graphical and data-based
points of view. Calculus is presented as a problem-solving tool with
applications to the physical and social sciences. Graphing and
symbolic-manipulating calculator and computer tools are used
throughout the course.
Prerequisite:
MAT 133 or equivalent.

MAT 182 Calculus II 4 SH

An extension of the study begun in Calculus I with greater emphasis
on differentiation and integration skills and techniques. Topics
include methods of integration, approximating methods and an
introduction to differential equations. Graphing and
symbolic-manipulating calculator and computer tools are used
throughout the course.
Prerequisite:
MAT 181.

MAT 185 Introduction to Symbolic Computations 3 SH

The course includes introduction to computer algebra, and selected computational
algorithms appropriate for undergraduate level mathematics and their computer
implementations. Emphasis is on practical computational skills in solving typical
problems of undergraduate mathematics and visualization of fundamental mathematical
concepts using a computer algebra system.
Prerequisite:
MAT 171 or MAT 181 and CS 140 or CS 143.

MAT 207 Proofs 3 SH

An introduction to the theory and practice of
reading and writing mathematical proofs, using theorems and problems
in number theory as a source of examples.
Prerequisite:
C or better in MAT 141: Foundational Discrete Mathematics

MAT 211 The Mathematical Laboratory 3 SH

Topics will be selected from the background material for elementary
and middle-school mathematics, including functions, measurement,
geometry and problem-solving. Manipulative materials will be used
throughout this course. Recent topics pulled from mathematical
journals may also be included.
Prerequisite
MAT 105 or 106.

MAT 212 Mathematics in the Middle Grades 3 SH

This course will focus on mathematical content and
pedagogy related to the middle grades. It will include curricular
connections from elementary to middle school level mathematics and
from middle to secondary school level mathematics. Nationally
recognized content and process standards will be incorporated
throughout the course. Spring semester of odd-numbered years.
Prerequisite:
MAT 105 or MAT 106 or declared B.S. Math Secondary Education major
with Sophomore standing.

MAT 222 Introductory Statistics

A rigorous introduction to the concepts and
practice of statistics for math and science majors, with emphasis on
developing statistical literacy through data analysis. This data-driven course will cover the
following topics: descriptive and inferential statistics, sampling
distributions, estimation, hypothesis testing, regression,
correlation and analysis of variance. Statistical software will be used
throughout the class.
Prerequisite:
C or better in MAT 181 or Mat 171 (either can be taken
concurrently)

MAT 242 Foundations of Geometry 3 SH

Elementary geometry, primarily from the point of view of
transformations: postulates, isometries, congruence, similarity,
triangles and circles, area and perimeter, informal three-space
geometry. This course is designed for elementary education majors
majoring in mathematics and for secondary education majors.
Prerequisite:
Junior standing in an education program or permission of instructor. Fall semester.

MAT 250 Mathematical Modeling 3 SH

This courses addresses the ways in which mathematics and
mathematical thinking serve as a model for understanding real world
phenomena. The purpose of this course is to prepare students to
apply upper level mathematics to other problems outside the realm of
mathematics. Students also learn how to incorporate mathematics in
technical reports.
Prerequisite:
MAT 182.

MAT 251 Posing and Solving Problems in Mathematics 3 SH

Posing and solving problems is a course in heuristics, the art of
inventing or discovering solutions to problems in the absence of
routines that make those solutions readily attainable. General
methods for discovering solutions to such problems will be
presented. Prerequisite:
MAT 182.

The study of multivariable and vector calculus, including partial
derivatives, multiple integrals and applications. Emphasis on the
graphical, numerical and algebraic points of view as developed in
Calculus I and Calculus II will be continued.
Prerequisite:
MAT 182.

MAT 282 Ordinary Differential Equations 3 SH

The classification and techniques of solving differential
equations–from algebraic, graphical, and data-based points of view.
Modeling of problems that lead to differential equations from
biological and physical sciences. Graphing and symbolic-manipulating
computer tools are used throughout the course.
Prerequisite:
MAT 182.

MAT 298 Faculty Developed Study 1-4 SH

MAT 299 Student Developed Study 1-6 SH

MAT 332 Introduction to Applied Mathematics 3 SH

This course is an introduction to selected
topics in areas of applied mathematics. The students will be exposed to
models used to understand real world phenomena. Technology and written communication
will be emphasized.
Prerequisite:
C or better in MAT 222 Introductory Statistics and MAT 272 Linear Algebra.

MAT 342 Topics in Geometry 3 SH

The central theme of the course is the study of many different
geometries, rather than a single geometry. The focus will be on
those geometries that have been developed since 1800 with references
back to the geometry of Euclid.
Prerequisite:
MAT 242 or permission of instructor. Spring semester.

MAT 351 Independent Study 3 SH

Designed for students who show above average ability and interest in
mathematics. It allows the student to study advanced topics not
included in the standard course offerings. Approval of Mathematics
Department is required.

A survey of the historical development of mathematics designed to
help students develop their own philosophy of mathematics as well as
their answer to the question, “What is mathematics?”
Prerequisite:
MAT 182. Even spring semester.

MAT 375 Algebraic Structures 3 SH

In order to have a proper foundational understanding of the numbers and
algorithms we use every day one must have knowledge of groups,
rings, and fields. This course will introduce the basic
ideas in groups, rings, and fields. There will be particular emphasis on
field extensions, factorization, and transformations. Students will
learn about the fundamental algebraic structures behind the
algorithms for arithmetic and polynomials. They will also understand how one
number system is developed from another.
Prerequisite:
C or better in MAT 272: Linear Algebra

MAT 382 Complex Variables 3 SH

Continuity, differentiability, analyticity, line integration and
power series within the context of the complex number system.
Residues and poles, conformal mapping, analytic continuation and
most of the well-known classical theorems associated with the theory
of complex variables.
Prerequisite:
MAT 383. Odd spring semester.

MAT 383 Introduction to Mathematical Analysis 3 SH

This course is a first course in advanced
calculus. Students are introduced to the theory of
calculus of real valued functions. The course will focus on formal
definitions and proof in analysis. Topics covered include limits,
continuity, convergence, differentiation and integration.
Prerequisites:
MAT 207: Proofs and MAT 182: Calculus II.

MAT 410 Mathematical Statistics I 3 SH

A course that introduces the major distributions used in classical
statistics, e.g., binomial, normal and chi square, and develops the
mathematical theory basic to an understanding of them. Estimation
theory, hypothesis testing, regression analysis and analysis of
variance will be presented, and applications will be given.
Prerequisites:
MAT 120; MAT 281.

MAT 431 Numerical Analysis I 3 SH

The study of numerical methods associated with systems of linear
equations, eigenvalues, polynomial and transcendental equations, and
solutions of differential equations; the theory of interpolation and
functional approximation; techniques of numerical differentiation
and integration. Also included are the topics of least squares and
nonlinear functional optimization, the analysis of types of errors,
and computational speed. Compute implementation of numerical methods
will be emphasized throughout the course.
Prerequisites:
MAT 272 for MAT 431.

MAT 449 Teaching Mathematics in the Secondary Schools 3 SH

This course will emphasize the methods and materials needed to become an effective teacher of
Mathematics at the secondary school level. A brief review of
basic areas of instruction will accompany practice lessons and
units. Teacher candidates will study methods and modes of
instruction as well as technological aids and common assessment
methods. The course will also include an examination of the
current curricular reform movements and their impact on mathematics
education in the secondary school, the implications of State,
National, and International Tests and State and National Standards.
Prerequisites:
Admission to Secondary Teacher Education Program.

MAT 467 Topics in Mathematics 3 SH

This course is an opportunity for students to pursue in greater depth topics
introduced in other courses or topics not included in other courses. The topic would vary from semester to
semester. Typical topics might be mathematical models, combinatorics,
field theory, algebraic topology, decision theory, harmonic
analysis, wavelets, etc.
Prerequisites:
C or better in MAT 375, 383 or
332 as appropriate to the topic. May be repeated for credit with
different topics.